04-07-2021
Mathematics

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Can someone help solve this one ? I can’t solve it and it would be very helpful if you can explain thanks you.

Can someone help solve this one I cant solve it and it would be very helpful if you can explain thanks you class=

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04-07-2021

Hello,

Let's say y= log(x) in base 10.

[tex]\\y=log(x)\\\\log^2(x)-3log(x)-4=0\\\\y^2-3y-4=0\\\\\Delta=9+16=5^2\\\\y=4\ or\ y=-1\\\\log(x)=4 \Longrightarrow x=10^4\\\\or\\\\log(x)=-1 \Longrightarrow x=10^{-1}=0.1\\[/tex]

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